NC Math 1 Arithmetic Geometric Sequence

Write the explicit formula for the sequence.

What is the next term in the sequence 12, 31, 40, 49, ... ?

• 56

• 57

• 58

• 59

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

• u_n = 2(11)^n-1

• u_n = 11(2)

• u_n = 11(2)^n-1

The next two terms of the sequence 4, 7, 10, 13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a₇ ?

• -13

• -11

• -18

• -22

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

What is the 8th term in the geometric sequence below?

• 19,683

• 6,561

• 2,187

• 729

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

In a geometric sequence, a₁ = 486 and a₂ = 162. What is the explicit formula for this sequence?

• a_n = 2(3)^n-1

• a_n = 18(3)^n-1

• a_n = 18(1/3)^n-1

• a_n = 486(1/3)^n-1